Specific Heat Question?

Question

The specific heat of copper metal is 0.385 J/g·K. How many joules of heat are necessary to raise the temperature of a 1.41 kg block of copper from 27.2°C to 85.2°C?

Answer 1

Heat gained by the copper...
= Mass (g) x SH (J/g/°C) x ΔT (°C temp.change).

= 1.41kg x 0.385kJ/kg/°C x 58°C.
= 31.5kJ (31,500J)

Answer 2

dQ = m cp *dT

You have cp = 0.385 J/gm-K and m = 1.41 kg = 1410 gms and dT = 85.2 - 27.2 = 58 K

dQ = 0.385*1410*58 = 31.49 kJ